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Finding the Fourth Proportional to 32,958.60, 49,454.16 and 15,425.40

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Solution

The fourth proportional to 32,958.60, 49,454.16 and 15,425.40 is: 23,145.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,958.60 : 49,454.16 = 15,425.40 : x
  2. Step 2: Convert to fraction form
    32,958.60/49,454.16 = 15,425.40/x
  3. Step 3: Cross multiply
    32,958.60x = 49,454.16 × 15,425.40
  4. Step 4: Simplify right side
    32,958.60x = 762,850,199.66
  5. Step 5: Solve for x
    x = 762,850,199.66/32,958.60
  6. Step 6: Final answer
    x = 23,145.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.